1902400096 has 48 divisors (see below), whose sum is σ = 3983243040. Its totient is φ = 891279360.

The previous prime is 1902400091. The next prime is 1902400117. The reversal of 1902400096 is 6900042091.

It is a happy number.

It is a super-2 number, since 2×1902400096² = 7238252250521618432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1902400091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116941 + ... + 132211.

It is an arithmetic number, because the mean of its divisors is an integer number (82984230).

Almost surely, 2^1902400096 is an apocalyptic number.

1902400096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1902400096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991621520).

1902400096 is an abundant number, since it is smaller than the sum of its proper divisors (2080842944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1902400096 is a wasteful number, since it uses less digits than its factorization.

1902400096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15527 (or 15519 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 1902400096 is about 43616.5117358094. The cubic root of 1902400096 is about 1239.0836309759.

The spelling of 1902400096 in words is "one billion, nine hundred two million, four hundred thousand, ninety-six".